Results 71 to 80 of about 53,985 (263)

Wasserstein Riemannian Geometry on Statistical Manifold

International Electronic Journal of Geometry, 2020
In this paper, we study some geometric properties of statistical manifold equipped with the Riemannian Otto metric which is related to the L 2 -Wasserstein distance of optimal mass transport. We construct some α -connections on such manifold and we prove that the proposed connections are torsion-free and coincide with the Levi-Civita connection when α
Carlos Ogouyandjou, Nestor Wadagnı
openaire   +3 more sources

Genetic attenuation of ALDH1A1 increases metastatic potential and aggressiveness in colorectal cancer

Molecular Oncology, EarlyView.
Aldehyde dehydrogenase 1A1 (ALDH1A1) is a cancer stem cell marker in several malignancies. We established a novel epithelial cell line from rectal adenocarcinoma with unique overexpression of this enzyme. Genetic attenuation of ALDH1A1 led to increased invasive capacity and metastatic potential, the inhibition of proliferation activity, and ultimately ...
Martina Poturnajova, Zuzana Kozovska, Ondrej Pos, Kristina Pavlov, Sachin Gulati, Peter Makovicky, Kristina Jakic, Monika Burikova, Eva Sedlackova, Barbora Svitkova, Silvia Tyciakova, Vojtech Bystry, Nicolas Blavet, Boris Tichy, Matej Hrnciar, Jaroslav Budis, Miroslav Tomas, Peter Dubovan, Georgina Kolnikova, Veronika Repaska, Nikoleta Mojzesova, Eva Zomborska, Daniel Pindak, Michal Mego, Tomas Szemes, Miroslava Matuskova   +25 more
wiley   +1 more source

Targeted modulation of IGFL2‐AS1 reveals its translational potential in cervical adenocarcinoma

Molecular Oncology, EarlyView.
Cervical adenocarcinoma patients face worse outcomes than squamous cell carcinoma counterparts despite similar treatment. The identification of IGFL2‐AS1's differential expression provides a molecular basis for distinguishing these histotypes, paving the way for personalized therapies and improved survival in vulnerable populations globally.
Ricardo Cesar Cintra, Lucca Paolo Hsu Helmich, Daniel Rodrigues de Bastos, Laura Sichero, Patrícia Savio de Araujo‐Souza, Fabio Passetti, Luisa Lina Villa   +6 more
wiley   +1 more source

Casorati Inequalities for Spacelike Submanifolds in Sasaki-like Statistical Manifolds with Semi-Symmetric Metric Connection

Mathematics, 2022
In this paper, we establish some inequalities between the normalized δ-Casorati curvatures and the scalar curvature (i.e., between extrinsic and intrinsic invariants) of spacelike statistical submanifolds in Sasaki-like statistical manifolds, endowed ...
Simona Decu
doaj   +1 more source

Laplacian operator on statistical manifold

Information Geometry, 2022
In this paper, we define a Laplacian operator on a statistical manifold, called the vector Laplacian. This vector Laplacian incorporates information from the Amari-Chentsov tensor. We derive a formula for the vector Laplacian. We also give two applications using the heat kernel associated with the vector Laplacian.
Ruichao Jiang, Javad Tavakoli, Yiqiang Zhao   +2 more
openaire   +3 more sources

Network divergence analysis identifies adaptive gene modules and two orthogonal vulnerability axes in pancreatic cancer

Molecular Oncology, EarlyView.
Tumors contain diverse cellular states whose behavior is shaped by context‐dependent gene coordination. By comparing gene–gene relationships across biological contexts, we identify adaptive transcriptional modules that reorganize into distinct vulnerability axes.
Brian Nelson, Lyanne Delgado‐Coka, Natalia Marchenko, Luisa F. Escobar‐Hoyos, Kenneth R. Shroyer, Alisa Yurovsky, Trey Ideker, Gábor Balázsi, Thomas MacCarthy, Scott Powers   +9 more
wiley   +1 more source

Investigating Statistical Submersions and Their Properties

Mathematics
This research aims to prove a sharp relationship between statistical submersions and doubly minimal immersions. We consider a non-trivial statistical submersion on a statistical manifold with isometric fibers.
Aliya Naaz Siddiqui, Fatimah Alghamdi
doaj   +1 more source

Information Geometry of Quantum Entangled Gaussian Wave-Packets

, 2011
Describing and understanding the essence of quantum entanglement and its connection to dynamical chaos is of great scientific interest. In this work, using information geometric (IG) techniques, we investigate the effects of micro-correlations on the ...
Alekseev, Ali, Ali, Amari, Benatti, Benenti, Benenti, Braunstein, Busshardt, C. Cafaro, Cafaro, Cafaro, Cafaro, Cafaro, Cafaro, Cafaro, Cafaro, Cafaro, Cafaro, Casetti, Caticha, Caticha, Caticha, Caticha, Caticha, Caves, Chan, Chandra, Chen, Chicone, Cover, Cover, D.-H. Kim, De Felice, Di Bari, do Carmo, Einstein, Fan, Fan, Fedorov, Fox, Fujisaki, Furusawa, Gemmer, Gisin, Giulini, Gradshtyne, Grobe, Harshman, Harshman, Hillery, Horodecki, Hou, Jacobi, Jacquod, Jacquod, Jaynes, Kaplan, Kim, Klauder, Kolmogorov, Kolmogorov, Landau, Law, Liu, Liu, Lorenz, Mack, Miller, Mishima, Misner, Morigi, Nielsen, Ohanian, Ou, Pesin, Plenio, Popescu, Ropotenko, Rozanov, S. Mancini, S.A. Ali, Schmuser, Schrödinger, Schulman, Schulman, Scott, Serafini, Shibata, Silberhorn, Simon, Tal, Tanaka, Tegmark, Tegmark, Wagner, Wang, Wang, Wolf, Wootters, Zurek   +100 more
core   +1 more source

Pre‐analytical optimization of cell‐free DNA and extracellular vesicle‐derived DNA for mutation detection in liquid biopsies

Molecular Oncology, EarlyView.
Pre‐analytical handling critically determines liquid biopsy performance. This study defines practical best‐practice conditions for cell‐free DNA (cfDNA) and extracellular vesicle–derived DNA (evDNA), showing how processing time, storage conditions, tube type, and plasma input volume affect DNA integrity and mutation detection.
Jonas Dohmen, Lucrezia De Santis, Bret M. Stephens, Vincent Bernard, Jörg C. Kalff, Lara Braun, Phillipp Leyendecker, Johannes Röttgen, Daniel Weissinger, Anirban Maitra, Paola A. Guerrero, Alexander Semaan   +11 more
wiley   +1 more source

Recent theoretical progress on an information geometrodynamical approach to chaos

, 2008
In this paper, we report our latest research on a novel theoretical information-geometric framework suitable to characterize chaotic dynamical behavior of arbitrary complex systems on curved statistical manifolds.
Carlo Cafaro, Carlos Alberto de Bragança Pereira, Julio Michael Stern, Marcelo de Souza Lauretto   +3 more
core   +1 more source